A line with slope 3/2 passes through the point (1,3).
a.) Explain why (3,6) isn’t on the line.


b.) Explain why (0,0) isn’t on the line.


c.)Is the point (13,22)on this line. Explain why and why not.

Respuesta :

The coordinate (13, 22) is not on the line since the y-coordinate is 21

Equation of a line

The equation of a line in point slope form is expressed as:

y - ya =m(x-xb)

where

m is the slope = 3/2

(xa, ya) is the point. = (1, 3)

Substitute

y - 3 = 3/2(x - 1)

For the coordinate (3, 6). Substitute x = 3and check if the output will be 6

y = 1.5(3 - 1) + 3

y = 1.5(2) + 3

y = 6

Hence the coordinate (3, 6) is on the line since the y-coordinate is 6

For the coordinate (0, 0). Substitute x = 0 and check if the output will be 0

y = 1.5(0 - 1) + 3

y = 1.5(-1) + 3

y = 1.5

Hence the coordinate (0, 0) is not on the line since the y-coordinate is 1.5

For the coordinate (13, 22). Substitute x = 13 and check if the output will be 22

y = 1.5(13 - 1) + 3

y = 1.5(12) + 3

y = 18 + 3 =21

Hence the coordinate (13, 22) is not on the line since the y-coordinate is 21

Learn more on equation of a line here: https://brainly.com/question/13763238

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